Transcript

DATOS TOTALESALIMENTACINDESCARGAOVERFLOWUNDERFLOWC.C%efic.mallaabert.peso% peso%acum.Ret.%acum.paspeso% peso%acum.Ret.%acum.paspeso% peso%acum.Ret.%acum.paspeso% peso%acum.Ret.%acum.pas1/21250060.602.202.2097.800.000.000.00100.000.000.000.00100.000.000.000.00100.003/89520197.407.169.3590.653.100.360.3699.640.000.000.00100.0011.501.061.0698.9496.171/46300518.1018.7828.1471.8634.503.994.3595.650.000.000.00100.0040.903.764.8295.1884.5544750309.7011.2339.3760.6320.202.346.6893.320.000.000.00100.0028.602.637.4592.5583.02101700668.3024.2363.6036.4071.208.2314.9285.080.000.000.00100.00123.5011.3718.8281.1876.5520850265.609.6373.2326.7783.609.6724.5875.4213.401.711.7198.29145.6013.4032.2267.783.0066.4335425198.107.1880.4119.59170.3019.6944.2855.7255.307.048.7591.25255.5023.5155.7344.273.1044.944830078.702.8583.2616.74102.4011.8456.1243.8857.407.3116.0683.94128.7011.8467.5832.423.5032.606521287.303.1786.4313.5797.5011.2767.3932.6179.4010.1126.1773.83122.1011.2478.8121.193.6122.0310015085.403.1089.5310.4768.407.9175.3024.7075.209.5835.7464.2674.406.8585.6614.343.8215.8915010679.202.8792.407.6042.504.9180.2219.7864.108.1643.9156.0941.703.8489.5010.503.9113.182007566.302.4094.805.2028.103.2583.4616.5448.906.2350.1349.8723.302.1491.648.364.0811.962705357.602.0996.893.1110.101.1784.6315.3724.103.0753.2046.806.500.6092.247.764.1312.653254518.000.6597.542.462.000.2384.8615.147.400.9454.1445.861.400.1392.377.634.0913.004003810.900.4097.942.060.500.0684.9215.082.700.3454.4945.510.400.0492.417.594.0713.29-40056.92.06100.000.00130.4015.08100.000.00357.4045.51100.000.0082.507.59100.000.002758.10864.80785.301086.603.73mallaabert.%acum.paslog xlog FxX^2X.YY^2F(X)%acum.pas1/21250097.804.0971.99016.7858.1543.961122.5997.803/8952090.653.9791.95715.8307.7883.831103.4190.651/4630071.863.7991.85614.4357.0533.44779.9171.864475060.633.6771.78313.5186.5543.17866.9960.6310170036.403.2301.56110.4365.0432.43735.2636.402085026.772.9291.4288.5814.1822.03822.8726.773542519.592.6281.2926.9083.3961.66914.8419.594830016.742.4771.2246.1363.0311.49711.9416.746521213.572.3261.1335.4122.6351.2839.6113.5710015010.472.1761.0204.7352.2201.0417.7410.471501067.602.0250.8814.1021.7840.7766.237.60200755.201.8750.7163.5161.3420.5135.025.20270533.111.7240.4932.9730.8500.2434.043.11325452.461.6530.3912.7330.6460.1533.652.46400382.061.5800.3152.4960.4970.0993.282.06-4000.0040.17718.039118.59655.17626.166m =0.6245165439B =-0.470144008Xo =9021.7325245843

Cambiar slo rango amarilloReemplazar slo rango amarillo

ANAL.GRAN. GAUDIN SCH.ROSIN RAMANALISIS GRANULOMETRICOALIMENTACINDESCARGAOVERFLOWUNDERFLOWC.C%efic.mallaabert.(x)peso% peso%acum.Ret.%acum.paspeso% peso%acum.Ret.%acum.paspeso% peso%acum.Ret.%acum.paspeso% peso%acum.Ret.%acum.pas1/212500970.504.454.4595.556.100.120.1299.880.000.00100.0030.400.380.3899.620.4497.383/895003067.4014.0518.5081.5039.700.760.8899.120.000.00100.0086.201.081.4798.531.4995.271/463003852.6017.6536.1563.85114.602.193.0796.930.000.00100.00273.803.444.9195.091.6791.52447501755.308.0444.2055.8097.701.874.9495.060.000.00100.00193.602.437.3492.662.0588.83633501891.208.6752.8647.14138.402.657.5892.420.000.00100.00231.402.9110.2589.752.8585.66823601631.407.4760.3439.66140.702.6910.2789.730.000.00100.00243.103.0513.3086.703.3982.97102000473.602.1762.5137.4980.201.5311.8188.190.000.00100.00115.201.4514.7585.254.0181.11121700618.602.8365.3434.6669.501.3313.1486.860.000.00100.00131.001.6516.3983.614.0379.901611801187.305.4470.7829.22209.704.0117.1582.850.000.00100.00375.904.7221.1278.884.3275.7820850737.603.3874.1625.84200.603.8420.9879.020.000.00100.00381.704.8025.9174.094.2571.7130600844.903.8778.0321.97218.904.1925.1774.830.000.00100.00805.7010.1236.0463.962.3167.7540425563.202.5880.6119.39496.609.5034.6665.342.800.560.5699.44928.4011.6747.7052.302.6157.0050300538.102.4783.0816.92652.4012.4847.1452.8616.603.313.8796.131174.6014.7662.4637.542.8243.2670212460.602.1185.1914.81601.5011.5058.6441.3642.208.4212.3087.70971.2012.2074.6725.332.8931.16100150441.502.0287.2112.79501.709.5968.2331.7759.6011.9024.1975.81718.409.0383.7016.302.8521.76140106443.502.0389.2410.76376.807.2175.4424.5665.8013.1337.3362.67432.505.4389.1310.872.7815.4720075367.401.6890.939.07251.704.8180.2519.7550.7010.1247.4552.55230.402.9092.037.972.7911.7427053366.701.6892.617.39211.604.0584.3015.7045.909.1656.6143.39163.002.0594.075.932.838.9740038299.501.3793.986.02150.102.8787.1712.8336.007.1963.7936.21118.601.4995.564.442.787.25-40013146.02100.000.00671.0012.83100.000.00181.4036.21100.000.00353.004.44100.000.00n =1921824.905229.50501.007958.102.89LEYENDADATOS PARA INGRESARDATOS DE LA ALIMENTACINDATOS DE LA DESCARGADATOS DEL OVERFLOWDATOS DEL UNDERFLOWFUNCIN DE DISTRIBUCIN DE GATES-GAUDIN-SCHUHMANNmallaabert.(x)F(x)experim.Xlog xYlog FxX^2X.YY^2F(X)calculadoF(x)experim.Xlog xYlog FxX^2X.YY^2F(X)calculado1/21250095.554.0971.98016.7858.1133.92188.1999.884.0971.99916.7858.1923.998149.303/8950081.503.9781.91115.8227.6023.65277.9399.123.9781.99615.8227.9403.985135.521/4630063.853.7991.80514.4356.8583.25964.7796.933.7991.98614.4357.5473.946117.254475055.803.6771.74713.5186.4223.05157.0395.063.6771.97813.5187.2733.913106.136335047.143.5251.67312.4265.8992.80048.7392.423.5251.96612.4266.9293.86493.838236039.663.3731.59811.3775.3912.55541.6189.733.3731.95311.3776.5873.81482.9310200037.493.3011.57410.8975.1962.47738.6288.193.3011.94510.8976.4223.78578.2312170034.663.2301.54010.4364.9742.37135.9086.863.2301.93910.4366.2633.75973.8716118029.223.0721.4669.4364.5022.14830.4582.853.0721.9189.4365.8933.68064.942085025.842.9291.4128.5814.1371.99526.2779.022.9291.8988.5815.5593.60157.853060021.972.7781.3427.7183.7281.80022.4574.832.7781.8747.7185.2073.51251.164042519.392.6281.2886.9083.3841.65819.2265.342.6281.8156.9084.7713.29545.305030016.922.4771.2286.1363.0431.50916.4352.862.4771.7236.1364.2682.96940.077021214.812.3261.1715.4122.7231.37014.0541.362.3261.6175.4123.7612.61335.4510015012.792.1761.1074.7352.4091.22512.0231.772.1761.5024.7353.2682.25631.3814010610.762.0251.0324.1022.0891.06410.2824.562.0251.3904.1022.8161.93327.76200759.071.8750.9583.5161.7960.9178.8019.751.8751.2963.5162.4291.67824.57270537.391.7240.8692.9731.4980.7557.5315.701.7241.1962.9732.0621.43021.74400386.021.5800.7802.4961.2320.6086.4812.831.5801.1082.4961.7511.22819.33-4000.000.000.000.0054.57226.480167.71080.99639.13654.57233.100167.71098.93859.260m =0.4504998F 80 =10069.14m =0.3526914P 80 =2131.29B =0.0997428B =0.7291060Xo =16523.7723961179Xo =4012.5114284365FUNCIN DE DISTRIBUCIN DE ROSIN-ROMMLERmallaabert.(x)F(X)experim.ln 100/GxYlog ln 100/GxXlog xX^2X*YY^2F(x)calculadoF(X)experim.ln 100/GxYlog ln 100/GxXlog xX^2X*YY^2F(x)calculado1/21250095.553.1130.4934.09716.7852.0210.24379.9999.886.7540.8304.09716.7853.3990.68899.883/8950081.501.6870.2273.97815.8220.9040.05274.6899.124.7380.6763.97815.8222.6870.45699.651/4630063.851.0170.0073.79914.4350.0280.00066.1796.933.4840.5423.79914.4352.0600.29498.704475055.800.817-0.0883.67713.518-0.3240.00860.1995.063.0090.4783.67713.5181.7590.22997.346335047.140.637-0.1963.52512.426-0.6890.03852.9292.422.5790.4123.52512.4261.4510.16994.528236039.660.505-0.2973.37311.377-1.0000.08845.9689.732.2760.3573.37311.3771.2050.12890.2010200037.490.470-0.3283.30110.897-1.0830.10842.8588.192.1370.3303.30110.8971.0880.10987.6312170034.660.426-0.3713.23010.436-1.1990.13839.9286.862.0300.3073.23010.4360.9930.09584.8016118029.220.346-0.4613.0729.436-1.4180.21333.8282.851.7630.2463.0729.4360.7570.06177.522085025.840.299-0.5242.9298.581-1.5360.27528.9479.021.5620.1942.9298.5810.5670.03770.203060021.970.248-0.6052.7787.718-1.6820.36724.3974.831.3800.1402.7787.7180.3880.02062.084042519.390.216-0.6672.6286.908-1.7520.44420.4865.341.0590.0252.6286.9080.0660.00154.075030016.920.185-0.7322.4776.136-1.8130.53617.1052.860.752-0.1242.4776.136-0.3070.01546.377021214.810.160-0.7952.3265.412-1.8500.63214.2341.360.534-0.2732.3265.412-0.6340.07439.3110015012.790.137-0.8642.1764.735-1.8800.74611.8231.770.382-0.4182.1764.735-0.9090.17433.0014010610.760.114-0.9442.0254.102-1.9120.8919.7824.560.282-0.5502.0254.102-1.1140.30227.45200759.070.095-1.0221.8753.516-1.9161.0448.0919.750.220-0.6581.8753.516-1.2330.43222.69270537.390.077-1.1151.7242.973-1.9221.2426.6715.700.171-0.7681.7242.973-1.3230.58918.64400386.020.062-1.2071.5802.496-1.9071.4575.5412.830.137-0.8621.5802.496-1.3620.74315.36-4000.000.00-9.48754.572167.710-20.9288.5210.88554.572167.7109.5374.617m =0.5763243375F 80 =12508.23m =0.6378474948P 80 =1328.05B =-2.15463954832.1546395483B =-1.78546042861.7854604286Xr =5477.5772782267Xr =629.790966924TONELAJE =804W =2.730AMPERAJE360FACTOR DE POTENCIA =0.8VOLTAJE4.4G-G-SR-RP80 =2131.29P80 =1328.05F 80 =10069.14F 80 =12508.23Wi =15.622

ANAL.GRAN. GAUDIN SCH.ROSIN RAM

ALIMENTACIN EXPERIMENTALALIMENTACIN CALCULADADESCARGA EXPERIMENTALDESCARGA CALCULADAABERTURA (X)F(X)CURVA DE R-R

CALC. D50

alimentacin experimentalalimentacin calculadadescarga experimentaldescarga calculadaABERTURA (X)F(x)CURVA DE G-G-S

DATOS REALES D5OCALCULO DEL D50MALLAABERTURAFF (X)FR (X)FD (X)D/Rn =19FF (X)FR (X)FD (X)1/2125004.450.000.38-1.094Pf (%) =503/8950014.050.001.08-1.084Pr (%) =29.81/4630017.650.003.44-1.242Pd (%) =74.6447508.040.002.43-1.4348.08.039.90.00.036.22.42.433.1633508.670.002.91-1.5058.716.731.20.00.036.22.95.330.2823607.470.003.05-1.6917.524.223.70.00.036.23.18.427.21020002.170.001.45-3.0042.226.421.50.00.036.21.49.825.71217002.830.001.65-2.3852.829.218.70.00.036.21.611.524.11611805.440.004.72-7.5915.434.613.30.00.036.24.716.219.4208503.380.004.802.3853.438.09.90.00.036.24.821.014.6306003.870.0010.120.6193.941.96.00.00.036.210.131.14.4404252.580.5611.670.223503002.473.3114.76-0.069702122.118.4212.20-0.6251001502.0211.909.03-1.4101401062.0313.135.43-3.263200751.6810.122.90-6.962270531.689.162.05-20.328400381.377.191.49-49.257-40006.0236.214.4419.0466.047.90.036.236.20.04.435.60.0-4.034-4.03422.12.22.151.81.92.052.062.07J(r)J(r)J(r)J(r)J(r)J(r)J(r)J(r)J(r)J(r)8.03591526.50303326.16306925.84114225.99992027.24147826.86213926.33072826.29682926.2631158.00624529.08957728.68334728.29954428.48873629.97545229.51975928.88356428.84306328.8027934.04984619.01360918.69569418.39669718.54392219.71235319.35195818.85219518.82050818.7890150.0209040.9333580.9050940.8788840.8917450.9969640.9638980.9189560.9161410.9133480.1448961.9395261.8912021.8461811.8682982.0474411.9914831.9149311.9101171.90533831.9738685.3256405.7089616.0771295.8949294.5137164.9271375.5192025.5574585.59556250.54773552.13744848.02832444.33438046.13283161.85038656.72145550.02747849.61901949.214932102.779409134.942191130.075692125.673957127.820380146.337791140.337830132.447054131.963136131.484102r mnimo =2.06102.779409-4.034134.9421912130.0756922.1125.6739572.2127.8203802.15146.3377911.8140.3378301.9132.4470542.05131.9631362.06131.4841022.07MALLAABERTURASkFFc(x)FRc (x)FDc (x)D/rEE corr.652101.34173.90.05.23.1384791001501.40524.41.42.9-2.0342.3326.411501051.13514.01.13.1-3.0348.5234.30200740.25041.40.31.426.2665.5556.03270530.36161.70.41.6-16.7260.5549.6640037-0.61685.8-0.610.11.46111.74114.98-400-37-1.843111.734.44.43.1424.183.241.74F/R =2.74d 50 real8.64R/F =0.364d 50 corr.=54.13D/F =0.636P =0.216ECUACIN DE LA CURVA DE PARTICIN CORREGIDAXYABERTURAE corr.Log (x)ln1/1-ylog ln1/1-yXYX^22101.002.3220.00005.3931500.98132.1763.980.59979923371.30521786964.7351050.94862.0212.970.4724810320.95497360584.085740.68491.8691.150.06253130610.11688550093.494530.33091.7240.40-0.3959665558-0.68275557732.973370.15441.5680.17-0.7754440335-1.21605267022.459-370.10900.12-0.937753354700.00011.6818.79-0.97435237220.478268728823.140a =0.0675081866b =-0.09278576950.0927857695d50 cal =0.1037872588mallaabert.(x)FF(x)experim.Xlog xYlog FxX^2X.YY^2FF(X)calculadoFR(x)experim.Xlog xYlog FxX^2X.YY^2FR(X)calculadoFD(x)experim.Xlog xYlog FxX^2X.YY^2FD(X)calculado6521039.92.3221.6005.3933.7172.56237.3136.22.3221.5595.3933.6202.43066.8733.12.3221.5205.3933.5302.31137.5510015031.22.1761.4944.7353.2512.23229.6936.22.1761.5594.7353.3922.43051.4230.22.1761.4804.7353.2222.19229.8715010523.72.0211.3754.0852.7791.89123.3136.22.0211.5594.0853.1512.43038.9227.22.0211.4344.0852.8992.05723.442007421.51.8691.3333.4942.4921.77818.3836.21.8691.5593.4942.9142.43029.6225.71.8691.4103.4942.6361.98918.482705318.71.7241.2722.9732.1931.61814.6636.21.7241.5592.9732.6882.43022.8324.11.7241.3822.9732.3821.90914.73400376.01.5680.7802.4591.2230.60811.4936.21.5681.5592.4592.4452.43017.244.41.5680.6472.4591.0150.41911.54-4000.00.0000.0000.0000.000.00.0000.0000.0000.000.00.0000.0000.0000.0011.6817.85523.14015.65610.68811.6819.35323.14018.20914.57911.6817.87423.14015.68410.876m =0.678m =0.781m =0.679b =-0.004b =0.012b =-0.003Xo =898.2946613682Xo =351.6118668045Xo =887.8911552797FF d50 =6.79FR d50 =8.47FD d50 =6.81EFICIENCIA n1 PARTICULAS MENORES AL d50n 1 =0.4547EFICIENCIA n2 PARTICULAS MAYORES AL d50n 2 =0.6354EFICIENCIA DE CLASIFICACINn =28.89

DATOS REALES D5O0.46350444960.32142857140.28343541940.70328358210.44201994212.22423841060.9245161290.23900723890.23816966980.2422961563

Curva entre r y JrrJ (r)RELACIN ENTRE r y J (r)

FEED.OVER.UNDER100.1416845808100.183818253799.582546196899.45840522296.251590606795.136901526275.635552619968.390137138949.635954114534.6634.968475022515.629624012523.58799563280.8648568421

CALCULO D5098.3786288729172.815185100757.245363149273.7763107021126.980053155643.567583926754.378689050991.590959129432.618723594640.314276713166.476266964824.556116862730.302441075848.965917180618.72983852322.2836762735.232002599213.9922107999

alimentorebosedescarga

DETERMINACIN DEL D50 (ajuste con multiplicadores de Lagrange)DATOS REALESMALLAABERTURAfeedoverunder(f-u)*(o-u)(o-u)^2diferencialagrange6521011.9018109.8324-0.214-0.137191975210015012.20.117.796.8309.760.25520.1636046358150105182.125.9188.02566.44-0.1174-0.07526326112007415.91218.113.4237.21-0.2053-0.13161454442705311.517.28.130.9482.810.42430.2720119395400378.516.94.451.25156.250.01250.00801355-400-372251.77.8623.381927.21-0.1553-0.09956034461113.613403.68alfa =0.327u =0.6731.559858DATOS AJUSTADOSfeedoverunder12.03719197520.044861775918.09233019931.980521295412.03639536420.046501284117.58989408012.158980256118.07526326112.124611086425.95065217472.025379616116.031614544412.04303795618.18857658841.849164012711.227988060517.11105209587.91693596471.77679597468.4919864516.89737956924.39460688092.051406997422.099560344651.73255623277.86700411192.0820571796

MALLAABERTURAfeedoverunder6521011.911.988.10010018188210015012.224.175.90.10.199.917.735.764.31501051842.157.92.12.297.825.961.638.42007415.958421214.285.818.179.720.32705311.569.530.517.231.468.68.187.812.2400378.5782216.948.351.74.492.27.8-400-3722100051.710007.81000

CALCULO DEL D50MALLAABERTURAFF (X)FR (X)FD (X)D/Rn =7FF (X)FR (X)FD (X)6521011.90.018.01.951Pf (%) =5011.911.988.10.00.0100.018.018.082.010015012.20.117.72.200Pr (%) =29.812.224.175.90.10.199.917.735.764.315010518.02.125.92.013Pd (%) =74.618.042.157.92.12.297.825.961.638.42007415.912.018.11.77315.958.042.012.014.285.818.179.720.32705311.517.28.11.67611.569.530.517.231.468.68.187.812.2400378.516.94.42.0498.578.022.016.948.351.74.492.27.8-400-3722.051.77.82.09222.0100.00.051.7100.00.07.8100.00.01.9651.96522.12.22.151.81.92.052.062.07J(r)J(r)J(r)J(r)J(r)J(r)J(r)J(r)J(r)J(r)0.0005260.0064290.0551330.1436820.0949650.0700660.0073810.0252340.0303660.0359300.1226850.0864290.0201400.0000000.0048650.4006620.2091010.0469230.0405900.0347540.0105100.0007140.0316980.1362190.0757300.2336420.0608370.0060000.0095760.0139500.0130700.0178570.0345140.0549500.0443170.0002980.0060220.0256530.0273440.0290770.0703650.0864290.1380560.1970400.1667480.0146030.0443630.1111960.1164090.1217040.0087030.0028570.0029360.0239050.0110790.0861260.0285790.0000020.0001450.0005150.2376450.1207140.0009590.1474880.0443171.4188410.5682330.0239990.0137400.0063660.4635040.3214290.2834350.7032840.4420202.2242380.9245160.2390070.2381700.242296r mnimo =2.060.4635041.9650.32142920.2834352.10.7032842.20.4420202.152.2242381.80.9245161.90.2390072.050.2381702.060.2422962.07MALLAABERTURASkFFc(x)FRc (x)FDc (x)D/rEE corr.65210-0.04612.0417.912.051001001001500.05312.040.1517.812.0699.5899.46150105-0.02618.082.0725.852.0696.2595.1420074-0.04316.0311.9618.012.0675.6468.39270530.08911.2317.298.282.0549.6434.66400370.0038.4916.94.412.0634.9715.63-400-37-0.03122.0951.677.742.0623.590.862.06F/R =3.06d 50 real =53.29R/F =0.327d 50 corr.=62.55D/F =0.673P =0.229ECUACIN DE LA CURVA DE PARTICIN CORREGIDAXYABERTURAE corr.Log (x)ln1/1-ylog ln1/1-yXYX^221012.32205.3916841500.9952.1765.29831736650.72413796881.575724224.7349761050.9512.0213.01593498090.47942197450.96891181064.084441abert.realcorr.calc.740.6841.8691.15201306540.06145740460.11486388923.49316121099.9299.999.99530.3471.7240.4261781497-0.3704088205-0.63858480652.97217615099.3499.1699.8370.1561.5680.1696027844-0.7705670222-1.20824909082.45862410595.894.6586.64-370.0090.0090407447-2.0437957968007474.10567.0458.8511.6810.0710870916-1.91975429160.812666022523.1350625347.4533.1233.133731.3212.5916.5a =1.101412641b =-2.11203627692.1120362769d50 cal =59.2959491752mallaabert.(x)FF(x)experim.Xlog xYlog FxX^2X.YY^2FF(X)calculadoFR(x)experim.Xlog xYlog FxX^2X.YY^2FR(X)calculadoFD(x)experim.Xlog xYlog FxX^2X.YY^2FD(X)calculado6521088.12.3221.9455.3934.5173.78398.38100.02.3222.0005.3934.6444.000172.8282.02.3221.9145.3934.4443.66357.2510015075.92.1761.8804.7354.0923.53573.7899.92.1762.0004.7354.3513.998126.9864.32.1761.8084.7353.9353.27043.5715010557.92.0211.7634.0853.5633.10754.3897.82.0211.9904.0854.0233.96191.5938.42.0211.5844.0853.2022.51032.622007442.01.8691.6233.4943.0342.63540.3185.81.8691.9333.4943.6143.73866.4820.31.8691.3073.4942.4441.71024.562705330.51.7241.4842.9732.5592.20330.3068.61.7241.8362.9733.1663.37248.9712.21.7241.0862.9731.8731.18018.734003722.01.5681.3422.4592.1051.80222.2851.71.5681.7132.4592.6872.93635.237.81.5680.8922.4591.3990.79613.99-4000.00.0000.0000.0000.000.00.0000.0000.0000.000.00.0000.0000.0000.0011.68110.03823.14019.87017.06511.68111.47323.14022.48622.00611.6818.59223.14017.29813.128m =0.855m =0.916m =0.811b =0.007b =0.111b =-0.127Xo =214.0521261666Xo =115.5678587575Xo =417.6069812028FF d50 =30.44FR d50 =49.21FD d50 =18.81EFICIENCIA n1 PARTICULAS MENORES AL d50n 1 =0.5283EFICIENCIA n2 PARTICULAS MAYORES AL d50n 2 =0.7858EFICIENCIA DE CLASIFICACINn =41.51

Curva entre r y JrrJ (r)RELACIN ENTRE r y J (r)

alimentorebosedescarga


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